Alberto Stefano Sassi, Mayra Garcia-Alcala, et al.
Physical Review X
We study the energy cost of flocking in the active Ising model (AIM) and show that, besides the energy cost for self-propelled motion, an additional energy dissipation is required to power the alignment of spins. We find that this additional alignment dissipation reaches its maximum at the flocking transition point in the form of a cusp with a discontinuous first derivative with respect to the control parameter. To understand this singular behavior, we analytically solve the two- and three-site AIM models and obtain the exact dependence of the alignment dissipation on the flocking order parameter and control parameter, which explains the cusped dissipation maximum at the flocking transition. Our results reveal a trade-off between the energy cost of the system and its performance measured by the flocking speed and sensitivity to external perturbations. This trade-off relationship provides a new perspective for understanding the dynamics of natural flocks and designing optimal artificial flocking systems.
Alberto Stefano Sassi, Mayra Garcia-Alcala, et al.
Physical Review X
Yuhai Tu, G. Grinstein
Physical Review Letters
Ning Yang, Chao Tang, et al.
Physical Review Letters
Yuhai Tu, Guillermo Morales, et al.
APS March Meeting 2024